• Analytical results for periodically-driven two-level models in relation to Heun functions

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      https://www.ias.ac.in/article/fulltext/pram/091/02/0019

    • Keywords

       

      Two-level models; Heun equation; periodic potential; exact in-gap solutions

    • Abstract

       

      We introduce three different types of periodically-driven multiparametric two-level models whoseanalytical solutions are given in terms of Heun functions. These results are applied to obtain exact analytical results for certain types of periodic potentials and asymmetric double-well potentials. In particular, it is shown that underspecial parameter conditions, an experimentally realised periodic potential supports the exact in-gap solutions. In the asymmetric double-well potentials, some exact results of the bound-state wave functions and associated energiesare found in explicit form.

    • Author Affiliations

       

      QIONGTAO XIE1

      1. College of Physics and Electronic Engineering, Hainan Normal University, Haikou 571158, China
    • Dates

       
  • Pramana – Journal of Physics | News

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